{"id":"https://openalex.org/W2095217812","doi":"https://doi.org/10.1007/s002000050065","title":"Integral Bases for Subfields of Cyclotomic Fields","display_name":"Integral Bases for Subfields of Cyclotomic Fields","publication_year":1997,"publication_date":"1997-04-21","ids":{"openalex":"https://openalex.org/W2095217812","doi":"https://doi.org/10.1007/s002000050065","mag":"2095217812"},"language":"en","primary_location":{"id":"doi:10.1007/s002000050065","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000050065","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101525928","display_name":"Thomas Breuer","orcid":"https://orcid.org/0000-0003-3804-8811"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thomas Breuer","raw_affiliation_strings":["Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen, D-52056 Aachen, Germany  (e-mail: sam@math.rwth-aachen.de), , , , , , DE","Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen, D-52056 Aachen, Germany (e-mail: sam@math.rwth-aachen.de), DE"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen, D-52056 Aachen, Germany  (e-mail: sam@math.rwth-aachen.de), , , , , , DE","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen, D-52056 Aachen, Germany (e-mail: sam@math.rwth-aachen.de), DE","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101525928"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5239,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.65531094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"8","issue":"4","first_page":"279","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cyclotomic-field","display_name":"Cyclotomic field","score":0.831732988357544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7938732504844666},{"id":"https://openalex.org/keywords/root-of-unity","display_name":"Root of unity","score":0.7589318752288818},{"id":"https://openalex.org/keywords/cyclotomic-polynomial","display_name":"Cyclotomic polynomial","score":0.6364396214485168},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4764678478240967},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1269245743751526},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08762180805206299},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.046594977378845215},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.0377022922039032}],"concepts":[{"id":"https://openalex.org/C127843967","wikidata":"https://www.wikidata.org/wiki/Q1554628","display_name":"Cyclotomic field","level":2,"score":0.831732988357544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7938732504844666},{"id":"https://openalex.org/C206343339","wikidata":"https://www.wikidata.org/wiki/Q756747","display_name":"Root of unity","level":3,"score":0.7589318752288818},{"id":"https://openalex.org/C76253118","wikidata":"https://www.wikidata.org/wiki/Q1051983","display_name":"Cyclotomic polynomial","level":3,"score":0.6364396214485168},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4764678478240967},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1269245743751526},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08762180805206299},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.046594977378845215},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0377022922039032},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s002000050065","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000050065","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},{"id":"pmh:oai:publications.rwth-aachen.de:237366","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/search?p=id:%22RWTH-CONV-086100%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applicable algebra in engineering, communication and computing : AAECC 8(4), 279-289 (1997). doi:10.1007/s002000050065","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W31762650","https://openalex.org/W1558606648","https://openalex.org/W1994723459","https://openalex.org/W2062704303"],"related_works":["https://openalex.org/W2963441604","https://openalex.org/W2553915590","https://openalex.org/W4302087514","https://openalex.org/W1991620671","https://openalex.org/W1525904952","https://openalex.org/W2011589786","https://openalex.org/W2095217812","https://openalex.org/W4236159893","https://openalex.org/W2507198028","https://openalex.org/W2047352316"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
